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D3h Point Group
|
| not Abelian, 6(8) irreducible representations | |
Subgroups of D3h point group: Cs, C2, C3, D3, C2v, C3v, C3h |
Character table for D3h point group
|
E |
2C3 |
3C'2 |
σh |
2S3 |
3σv |
linear,
rotations |
quadratic |
| A'1 |
1 |
1 |
1 |
1 |
1 |
1 |
|
x2+y2, z2 |
| A'2 |
1 |
1 |
-1 |
1 |
1 |
-1 |
Rz |
|
| E' |
2 |
-1 |
0 |
2 |
-1 |
0 |
(x, y) |
(x2-y2, xy) |
| A''1 |
1 |
1 |
1 |
-1 |
-1 |
-1 |
|
|
| A''2 |
1 |
1 |
-1 |
-1 |
-1 |
1 |
z |
|
| E'' |
2 |
-1 |
0 |
-2 |
1 |
0 |
(Rx, Ry) |
(xz, yz) |
Product table for D3h point group| | A'1 | A'2 | E' | A''1 | A''2 | E'' |
|---|
| A'1 | A'1 | A'2 | E' | A''1 | A''2 | E'' |
|---|
| A'2 | A'2 | A'1 | E' | A''2 | A''1 | E'' |
|---|
| E' | E' | E' | A'1+A'2+E' | E'' | E'' | A''1+A''2+E'' |
|---|
| A''1 | A''1 | A''2 | E'' | A'1 | A'2 | E' |
|---|
| A''2 | A''2 | A''1 | E'' | A'2 | A'1 | E' |
|---|
| E'' | E'' | E'' | A''1+A''2+E'' | E' | E' | A'1+A'2+E' |
|---|
|
